254616114025 has 81 divisors (see below), whose sum is σ = 398054480751. Its totient is φ = 161018282880.

The previous prime is 254616114013. The next prime is 254616114031. The reversal of 254616114025 is 520411616452.

The square root of 254616114025 is 504595.

It is a perfect power (a square), and thus also a powerful number.

254616114025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 215083540441 + 39532573584 = 463771^2 + 198828^2 .

It is not a de Polignac number, because 254616114025 - 2⁵ = 254616113993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 229590171 + ... + 229591279.

Almost surely, 2^254616114025 is an apocalyptic number.

254616114025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

254616114025 is the 504595-th square number.

254616114025 is the 252298-th centered octagonal number.

It is an amenable number.

254616114025 is a deficient number, since it is larger than the sum of its proper divisors (143438366726).

254616114025 is an equidigital number, since it uses as much as digits as its factorization.

254616114025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 254616114025 in words is "two hundred fifty-four billion, six hundred sixteen million, one hundred fourteen thousand, twenty-five".